基于减基法的结构静态极值响应快速计算方法  

Rapid computation of structural static extreme response based on reduced basis method

作　　者：张正[1] 刘杰[2] 徐迎[1] 

机构地区：[1]吉首大学物理与机电工程学院,吉首416000 [2]湖南大学机械与运载工程学院,长沙410082

出　　处：《计算力学学报》2015年第1期94-98,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11202076);吉首大学校级科研(jsdxrcyjkyxm201209)资助项目

摘　　要：针对参数化结构系统的响应极值问题,提出了一种适用于快速分析结构静态响应极值的计算方法。该方法在有限元模型基础上,利用减基法原理建立减缩的优化模型,并结合遗传算法快速、准确地获取结构在测点处的静态响应极值,同时,为了更贴近工程应用,在建立优化模型和设计优化步骤时,考虑了求解多测点情况下的最大静态响应极值。算例分析和结果比较,表明该方法在保证响应极值求解精度的同时,具有极大的时效性。A suitable method based on the reduced basis conception,is proposed for efficiently analyzing and computing the structural static extreme response. In this method, the finite element model is established firstly,and then the reduced basis method and genetic algorithm are used together to construct a reduced optimization model,which could rapidly obtain the structural static extreme response at singleobservation point. To further improve engineering application of this method, the largest extreme displacement response under multi-observation-point situation is taken into consideration in development of the optimization model and procedure. The examples in this paper demonstrate the high accuracy and efficiency of this method.

关 键 词：静态响应极值 减基法 遗传算法 有限元 时效性 

分 类 号：TB121[理学—工程力学] O30[理学—力学]